( 27x + 6 ) : - 11 = 9 

\(\left(27x+6\right)=9.\left(-11\right)\)

\(\left(27x+6\right)=-99\)

\(27x=\left(-99\right)-6\)

\(27x=-105\)

\(x=\left(-105\right):27\)

\(x=-\frac{35}{9}\)

\(\left(27x+6\right):\left(-11\right)=9\)

\(27x+6=9.\left(-11\right)=-99\)

\(27x=\left(-99\right)-6=-105\)

\(x=\left(-105\right):27=\frac{-35}{9}\)

(27x + 6 ) : - 11 = 9 

=>(27x + 6 )=9.(-11)

=>(27x + 6 )=-99

=> 27x= -105

=>x=\(-\frac{105}{27}=>x=-\frac{35}{9}\)

Bài 1 d)

\(1-2+3-4+5-6+...+2013\)

\(=1+\left(-2+3\right)+\left(-4+5\right)+...+\left(-2012+2013\right)\)

\(=1+1+1+...+1\left(1006s\right)\)

\(=1006.1=1006\)

Bài 6:

\(21,251+6,058+0,749+1,042\)

\(=\left(21,251+0,749\right)+\left(6,058+1,042\right)\)

\(=22+7,1\)

\(=29,1\)

___________________

\(1,53+5,309+12,47+5,691\)

\(=\left(1,53+12,47\right)+\left(5,309+5,691\right)\)

\(=14+11\)

\(=25\)

5:

a: =>x/17=5/17

=>x=5

b; =>6+x=7/11*33=21

=>x=15

c: \(\dfrac{12+x}{43-x}=\dfrac{2}{3}\)

=>3x+36=86-2x

=>5x=50

=>x=10

d: \(\dfrac{x}{5}< \dfrac{3}{7}\)

=>x<3/7*5

=>x<15/7

f: 15/26+x/16=46/52

=>x/16=23/26-15/26=8/26=4/13

=>x=4/13*16=64/13

a) Ta có: \(\left(x-2\right)^3-\left(x-3\right)\left(x^2+3x+9\right)+6\left(x+1\right)^2=15\)

\(\Leftrightarrow x^3-6x^2+12x-8-x^3+27+6\left(x^2+2x+1\right)=15\)

\(\Leftrightarrow-6x^2+12x+19+6x^2+12x+6=15\)

\(\Leftrightarrow24x+25=15\)

\(\Leftrightarrow24x=-10\)

hay \(x=-\dfrac{5}{12}\)

b) Ta có: \(2x^3-50x=0\)

\(\Leftrightarrow2x\left(x-5\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)

c) Ta có: \(5x^2-4\left(x^2-2x+1\right)-5=0\)

\(\Leftrightarrow5x^2-4x^2+8x-4-5=0\)

\(\Leftrightarrow x^2+8x-9=0\)

\(\Leftrightarrow\left(x+9\right)\left(x-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-9\\x=1\end{matrix}\right.\)

d) Ta có: \(x^3-x=0\)

\(\Leftrightarrow x\left(x-1\right)\left(x+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

e) Ta có: \(27x^3-27x^2+9x-1=1\)

\(\Leftrightarrow\left(3x\right)^3-3\cdot\left(3x\right)^2\cdot1+3\cdot3x\cdot1^2-1^3=1\)

\(\Leftrightarrow\left(3x-1\right)^3=1\)

\(\Leftrightarrow3x-1=1\)

\(\Leftrightarrow3x=2\)

hay \(x=\dfrac{2}{3}\)

a)\(29.\left(-13\right)-27.\left(-29\right)-14.\left(-29\right)\)

\(=13\left(-29\right)-27.\left(-29\right)-14.\left(-29\right)\)

\(=-29.\left(13-27-14\right)\)

\(=\left(-28\right).\left(-29\right)\)

\(=812\)

(x+1)(x-2)(x-3)(2x-1)(3x-1)=0

Bài 1: Tìm x

a) Ta có: \(\left(2x+1\right)^2-4\left(x+2\right)^2=9\)

\(\Leftrightarrow4x^2+4x+1-4\left(x^2+4x+4\right)-9=0\)

\(\Leftrightarrow4x^2+4x+1-4x^2-16x-16-9=0\)

\(\Leftrightarrow-12x-24=0\)

\(\Leftrightarrow-12x=24\)

hay x=-2

Vậy: x=-2

b) Ta có: \(\left(3x-1\right)^2+2\left(x+3\right)^2+11\left(x+1\right)\left(1-x\right)=6\)

\(\Leftrightarrow9x^2-6x+1+2\left(x^2+6x+9\right)-11\left(x-1\right)\left(x+1\right)-6=0\)

\(\Leftrightarrow9x^2-6x+1+2x^2+12x+18-11\left(x^2-1\right)-6=0\)

\(\Leftrightarrow11x^2+6x+12-11x^2+11=0\)

\(\Leftrightarrow6x+23=0\)

\(\Leftrightarrow6x=-23\)

hay \(x=-\frac{23}{6}\)

Vậy: \(x=-\frac{23}{6}\)

c) Ta có: \(8x^3-12x^2+6x-1=0\)

\(\Leftrightarrow\left(2x\right)^3-3\cdot\left(2x\right)^2\cdot1+3\cdot2x\cdot1^2-1^3=0\)

\(\Leftrightarrow\left(2x-1\right)^3=0\)

\(\Leftrightarrow2x-1=0\)

\(\Leftrightarrow2x=1\)

hay \(x=\frac{1}{2}\)

Vậy: \(x=\frac{1}{2}\)

d) Ta có: \(x^3+9x^2+27x+27=0\)

\(\Leftrightarrow x^3+3\cdot x^2\cdot3+3\cdot x\cdot3^2+3^3=0\)

\(\Leftrightarrow\left(x+3\right)^3=0\)

\(\Leftrightarrow x+3=0\)

hay x=-3

Vậy: x=-3

a) (2x + 1)² - 4(x + 2)² = 9

4x² + 4x + 1 - 4(x² + 4x + 4) = 9

4x² + 4x + 1 - 4x² - 16x - 16 = 9

-12x - 15 = 9

-12x = 9 + 15

-12x = 24

x = 12 : (-2)

x = -2

b) (3x - 1)² + 2(x + 3)² + 11(x + 1)(1 - x) = 6

9x² - 6x + 1 + 2(x² + 6x + 9) - 11(x + 1)(x - 1) = 6

9x² - 6x + 1 + 2x² + 12x + 18 - 11(x² - 1) = 6

9x² - 6x + 1 + 2x² + 12x + 18 - 11x² + 11 = 6

6x + 30 = 6

6x = 6 - 30

6x = -24

x = -24 : 6

x = -4

c) 8x³ - 12x² + 6x - 1 = 0

(2x)³ - 3.(2x)².1 + 3.2x.1² - 1³ = 0

(2x - 1)³ = 0

2x - 1 = 0

2x = 1

x = 1/2

d) x³ + 9x² + 27x + 27 = 0

x³ + 3.x².3 + 3.x.3² + 3³ = 0

(x + 3)³ = 0

x + 3 = 0

x = 0 - 3

x = -3